Let a, b > 0. Show that the geometric mean ab is not larger than the arithmetic

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Let a, b > 0. Show that the geometric mean √ab is not larger than the arithmetic mean (a + b)/². Consider (a^1/2 − b^1/2)².

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Oct 24, 2023 05:07 AM

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Let a, b > 0. Show that the geometric mean ab is not larger than the arithmetic

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Calculus

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